Nina sold 25 orders of flowers from her shop on Valentine's Day. Of the 25, 14 of them
1 answer:
Answer:
56%
Step-by-step explanation:
So 25 orders of flowers were sold, and 14 of them contained roses. So we know that 14 out of the 25 orders contained roses. You can turn that sentence into an expression: .
is in fraction form, but the question is asking for percentages.
in percentage form is easy to find. All you need to do is get the denominator to 100 and then whatever the numerator is, that is your percentage.
will be turned into
. The numerator is 56, thus the percentage is 56%.
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Answer:
Graph B
No
Inside
Step-by-step explanation:
Let, the number of apples = x and number of peaches = y.
It is given that the farmer can afford maximum of 54 acres.
Thus, x + y ≤ 54.
Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.
Since, maximum amount of water is 80,000 gallons per day,
We get, 3000x + 800y ≤ 80,000.
It is required to maximize the profit given by z = 3400x + 1600y.
Thus, the system of equations becomes,
z = 3400x + 1600y
3000x + 800y ≤ 80,000.
x + y ≤ 54.
Plotting these equations gives the following graph.
We can see that the graph obtained is equivalent to Graph B.
Further, we know that the maximum value of the objective function z = 3400x + 800y is obtained at the boundary point of the solution region.
Thus, any point inside the solution region will give a feasible solution not maximum solution.
Hence, ( 30,20 ) will not maximize the profit as it lies inside the solution region.
